Multiplying Monomials with Binomials (Values and Variables) (Level 1)

This math topic focuses on the skills of multiplying monomials with binomials involving radical expressions, and simplifying the results. It is designed to help learners grasp the basics of radicals, particularly through the application of multiplication. The problems involve multiple expressions with variables and require simplifying the products using properties of radicals and exponent rules. Each question has multiple choice answers, helping users to evaluate their understanding of the mathematical operations and simplifications involved with radicals.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Radicals - Multiplying Monomials with Binomials (Values and Variables) Worksheet

Mobius Math Academy logo
Radicals - Multiplying Monomials with Binomials (Values and Variables)
1
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 2c + 5square root of c) times {c} to the power of 2 square root of 13
a A LaTex expression showing {c} to the power of 2 square root of 26c + 5{c} to the power of 2 square root of 13c
b A LaTex expression showing {c} to the power of 2 square root of 26c + 5{c} to the power of 2 square root of 13
c A LaTex expression showing {c} to the power of 2 square root of 26c + {c} to the power of 2 square root of 13c
d A LaTex expression showing {c} to the power of 2 square root of 26 + 5{c} to the power of 2 square root of 13c
e A LaTex expression showing {c} to the power of 2 square root of 26{c to the power of -1 } + 5{c} to the power of 2 square root of 13c
2
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4 - square root of 5r) times rsquare root of 5
a A LaTex expression showing 4rsquare root of 5 - rsquare root of r
b A LaTex expression showing 4rsquare root of 5 - 5rsquare root of r
c A LaTex expression showing 4rsquare root of 5 - 5{r} to the power of 3 square root of r
d A LaTex expression showing 4{r} to the power of -1 square root of 5 - 5rsquare root of r
e A LaTex expression showing 4square root of 5 - 5rsquare root of r
3
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 7c times (5 + square root of 5)
a A LaTex expression showing 5square root of 7c + square root of 35c
b A LaTex expression showing 5square root of 7c + square root of 2c
c A LaTex expression showing 5square root of 7c + csquare root of 35c
d A LaTex expression showing 5square root of 7c + 4square root of 35c
e A LaTex expression showing 5square root of 7c + square root of 35
4
Multiply the radical expressions and simplify the answer
A LaTex expression showing (4y + ysquare root of 7y) times ysquare root of 7y
a A LaTex expression showing 4{y} to the power of 3 square root of 7 + 7{y} to the power of 3
b A LaTex expression showing 4square root of 7y + 7{y} to the power of 3
c A LaTex expression showing 4{y} to the power of 4 square root of 7y + 7{y} to the power of 3
d A LaTex expression showing {y} to the power of 2 square root of 7y + 7{y} to the power of 3
e A LaTex expression showing 4{y} to the power of 2 square root of 7y + 7{y} to the power of 3
5
Multiply the radical expressions and simplify the answer
A LaTex expression showing (square root of 2 + 5square root of m) times msquare root of 2
a A LaTex expression showing 2{m} to the power of 3 + 5msquare root of 2m
b A LaTex expression showing 6m + 5msquare root of 2m
c A LaTex expression showing 2m + 5{m} to the power of -1 square root of 2m
d A LaTex expression showing 2m + 5msquare root of 2{m to the power of -1 }
e A LaTex expression showing 2m + 5msquare root of 2m
6
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 5 times (5d + dsquare root of 11)
a A LaTex expression showing 5dsquare root of 5 + {d} to the power of -1 square root of 55
b A LaTex expression showing 5dsquare root of 5 + dsquare root of 55
c A LaTex expression showing 5{d} to the power of -1 square root of 5 + dsquare root of 55
7
Multiply the radical expressions and simplify the answer
A LaTex expression showing square root of 3m times (msquare root of 3m - 2msquare root of m)
a A LaTex expression showing 3{m} to the power of 2 square root of m - 2{m} to the power of 2 square root of 3
b A LaTex expression showing 3{m} to the power of 2 - 2{m} to the power of 2 square root of 3
c A LaTex expression showing 3{m} to the power of 2 - 2{m} to the power of 3 square root of 3
d A LaTex expression showing 3{m} to the power of 4 - 2{m} to the power of 2 square root of 3
8
Multiply the radical expressions and simplify the answer
A LaTex expression showing ({x} to the power of 2 square root of 7 - 3x) times square root of 13x
a A LaTex expression showing {x} to the power of 3 square root of 91x - 3xsquare root of 13x
b A LaTex expression showing {x} to the power of 2 square root of 91x - xsquare root of 13x
c A LaTex expression showing {x} to the power of 2 square root of 91x - 3xsquare root of 13x
d A LaTex expression showing square root of 91x - 3xsquare root of 13x